A circular aluminum tube of L=600mm is loaded in by compressive forces at its ends. The outside and inside diameters are 75mm and 63mm respectively. A strain gage is placed on the outside of the tube to measure nomal strains in the longitudinal direction. E=73 GPa and Poisson's is 0.33. a. If the normal stress in the tube is 57 MPa, what is the load P? b. if the strain is 781 X 10-6, what is the shortening of the tube? What is the percent change in its cross-sectional area.

A circular aluminum tube of L=600mm is loaded in by compressive forces at its ends. The outside and inside diameters are 75mm and 63mm respectively. A strain gage is placed on the outside of the tube to measure nomal strains in the longitudinal direction. E=73 GPa and Poisson's is 0.33. a. If the normal stress in the tube is 57 MPa, what is the load P? b. if the strain is 781 X 10-6, what is the shortening of the tube? What is the percent change in its cross-sectional area.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

PROBLEM 1
A circular aluminum tube of L=600mm is loaded in by compressive forces at its
ends. The outside and inside diameters are 75mm and 63mm respectively. A strain
gage is placed on the outside of the tube to measure nomal strains in the longitudinal
direction. E=73 GPa and Poisson's is 0.33.
a. If the normal stress in the tube is 57 MPa, what is the load P?
b. if the strain is 781 X 10-6, what is the shortening of the tube? What is the
percent change in its cross-sectional area.

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